Neck bulges on swallowing, severe cough. What could be the reason?

when I swallow my neck bulges to the left, has been doing this for several months, my daughter was the first to notice it. I went to the Dr. Tuesday. I am scheduled for a barium swallow tomorrow and go to see a ENT on the 20th. I really would like to know what this could be? I also have had a cough for the past few months which has gotten progressively worse.